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2023200312 = 233729415271
BaseRepresentation
bin111100010010111…
…1001011000111000
312020000000020001220
41320211321120320
513120414402222
6532432112040
7101064630120
oct17045713070
95200006056
102023200312
11949053381
12485695620
1326320b363
141529b7c80
15bc946b5c
hex78979638

2023200312 has 64 divisors (see below), whose sum is σ = 5979916800. Its totient is φ = 558122880.

The previous prime is 2023200259. The next prime is 2023200317. The reversal of 2023200312 is 2130023202.

It is a junction number, because it is equal to n+sod(n) for n = 2023200291 and 2023200300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023200317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202764 + ... + 212507.

It is an arithmetic number, because the mean of its divisors is an integer number (93436200).

Almost surely, 22023200312 is an apocalyptic number.

It is an amenable number.

2023200312 is an abundant number, since it is smaller than the sum of its proper divisors (3956716488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023200312 is a wasteful number, since it uses less digits than its factorization.

2023200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415316 (or 415312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2023200312 is about 44979.9990217875. Note that the first 3 decimals coincide. The cubic root of 2023200312 is about 1264.7740928801.

Adding to 2023200312 its reverse (2130023202), we get a palindrome (4153223514).

The spelling of 2023200312 in words is "two billion, twenty-three million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 415271 830542 1245813 1661084 2491626 2906897 3322168 4983252 5813794 8720691 9966504 11627588 12042859 17441382 23255176 24085718 34882764 36128577 48171436 69765528 72257154 84300013 96342872 144514308 168600026 252900039 289028616 337200052 505800078 674400104 1011600156 2023200312